3406624260 has 192 divisors, whose sum is σ = 10590961920. Its totient is φ = 817689600.

The previous prime is 3406624259. The next prime is 3406624289. The reversal of 3406624260 is 624266043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5667960 + ... + 5668560.

It is an arithmetic number, because the mean of its divisors is an integer number (55161260).

Almost surely, 2^3406624260 is an apocalyptic number.

3406624260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406624260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295480960).

3406624260 is an abundant number, since it is smaller than the sum of its proper divisors (7184337660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3406624260 is a wasteful number, since it uses less digits than its factorization.

3406624260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3406624260 is about 58366.2938689789. The cubic root of 3406624260 is about 1504.6705179699.

The spelling of 3406624260 in words is "three billion, four hundred six million, six hundred twenty-four thousand, two hundred sixty".